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Finding the Third Proportional to 193,991,888 and 420,272,608

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Solution

The third proportional to 193,991,888 and 420,272,608 is: 910,497,170.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,991,888 : 420,272,608 = 420,272,608 : x
  2. Step 2: Convert to fraction form
    193,991,888/420,272,608 = 420,272,608/x
  3. Step 3: Cross multiply
    193,991,888x = 420,272,608 × 420,272,608
  4. Step 4: Simplify right side
    193,991,888x = 176,629,065,035,121,664
  5. Step 5: Solve for x
    x = 176,629,065,035,121,664/193,991,888
  6. Step 6: Final answer
    x = 910,497,170.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.